4834616640 has 224 divisors, whose sum is σ = 17585253120. Its totient is φ = 1102381056.

The previous prime is 4834616603. The next prime is 4834616663. The reversal of 4834616640 is 466164384.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4834616592 and 4834616601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4522026 + ... + 4523094.

Almost surely, 2^4834616640 is an apocalyptic number.

4834616640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4834616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8792626560).

4834616640 is an abundant number, since it is smaller than the sum of its proper divisors (12750636480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4834616640 is a wasteful number, since it uses less digits than its factorization.

4834616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 4834616640 is about 69531.4075795967. The cubic root of 4834616640 is about 1690.9107330521.

The spelling of 4834616640 in words is "four billion, eight hundred thirty-four million, six hundred sixteen thousand, six hundred forty".